Algebra Chapter 7.EE Flashcards

Questions and Answers

What is a coefficient?

A number multiplied by a variable in an algebraic expression (correct)

A term without a variable

The result of a multiplication operation

A number that is added to the variable

What are like terms?

Terms that contain the same variables raised to the same power.

What does the distributive property state?

a(b + c) = ab + ac; a number outside the parenthesis can be multiplied to each term within the parenthesis.

What is a factor?

A number that is multiplied by another number to get a product. Signup and view all the answers

What is factoring?

Rewriting an expression as the product of its factors. Signup and view all the answers

What are numeric expressions?

An expression that consists only of numbers and operation symbols. Signup and view all the answers

What are algebraic expressions?

A combination of variables, numbers, and at least one operation. Signup and view all the answers

What is the maximum value?

The greatest possible amount or degree. Signup and view all the answers

What is the minimum value?

The smallest possible amount. Signup and view all the answers

What are equations?

A statement that two expressions are equivalent. Signup and view all the answers

What is an exponent?

A mathematical notation indicating the number of times a quantity is multiplied by itself. Signup and view all the answers

What is a square root?

A number that when multiplied by itself equals a given number. Signup and view all the answers

What is the order of operations?

Order in which you solve a math expression: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Signup and view all the answers

What is a base number?

The number that is going to be raised by a power. Signup and view all the answers

Study Notes

Algebraic Terms and Concepts

Coefficient: A numerical factor in front of a variable, crucial for determining the value of the term in algebraic expressions.
Like Terms: Terms sharing the same variable and exponent, allowing for simplification and combination during addition or subtraction.

Properties and Operations

Distributive Property: Fundamental property simplifying expressions by multiplying a term across terms within parentheses, expressed as a(b + c) = ab + ac.
Factor: A basic element in multiplication, representing numbers that combine to form a product; essential in simplifying expressions.
Factoring: The process of rewriting an expression as a product of its factors, enhancing the capability to solve equations and simplify expressions.

Types of Expressions

Numeric Expressions: Composed exclusively of numbers and operations (e.g., addition, subtraction), exemplifying basic arithmetic without variables.
Algebraic Expressions: Involves variables, numbers, and operations, forming the backbone of algebraic equations and problem-solving.

Value Concepts

Maximum Value: Represents the highest possible amount or degree within a given context, often used in optimization problems.
Minimum Value: Indicates the lowest possible amount, crucial for analyzing ranges and constraints in mathematical scenarios.

Equations and Relations

Equations: Statements asserting the equivalence of two expressions, pivotal in algebra for solving for unknown values (e.g., 3 x 9 = 27; 8 + x = 10).

Exponential Notation

Exponent: Represents how many times a base number is multiplied by itself, key for understanding powers and roots in mathematics.
Square Root: The value that, when multiplied by itself, yields the original number; important for solving quadratic equations and understanding geometric relationships.

Order of Operations

Order of Operations (PEMDAS): A specific sequence for evaluating expressions, crucial for maintaining consistency in calculations: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right).

Base Numbers

Base Number: The foundational number in exponential expressions that is raised to a power, serving as the basis for calculating powers and understanding exponential growth.

Description

Test your understanding of key algebraic concepts with these flashcards for Chapter 7.EE. Learn terms like 'coefficient', 'like terms', and the 'distributive property'. Perfect for practicing your algebra skills and preparing for exams.